268571680 has 48 divisors (see below), whose sum is σ = 683313624. Its totient is φ = 99164160.

The previous prime is 268571671. The next prime is 268571683. The reversal of 268571680 is 86175862.

It can be written as a sum of positive squares in 4 ways, for example, as 132802576 + 135769104 = 11524^2 + 11652^2 .

It is not an unprimeable number, because it can be changed into a prime (268571683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62481 + ... + 66640.

Almost surely, 2^268571680 is an apocalyptic number.

268571680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268571680 is an abundant number, since it is smaller than the sum of its proper divisors (414741944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

268571680 is a wasteful number, since it uses less digits than its factorization.

268571680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129149 (or 129141 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 268571680 is about 16388.1566992752. The cubic root of 268571680 is about 645.1886794523.

The spelling of 268571680 in words is "two hundred sixty-eight million, five hundred seventy-one thousand, six hundred eighty".